427384656 has 120 divisors (see below), whose sum is σ = 1234920960. Its totient is φ = 137894400.

The previous prime is 427384649. The next prime is 427384663. The reversal of 427384656 is 656483724.

It is an interprime number because it is at equal distance from previous prime (427384649) and next prime (427384663).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127475 + ... + 1127853.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 2^427384656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427384656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

427384656 is an abundant number, since it is smaller than the sum of its proper divisors (807536304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427384656 is a wasteful number, since it uses less digits than its factorization.

427384656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 427384656 is about 20673.2836288772. The cubic root of 427384656 is about 753.2508700992.

The spelling of 427384656 in words is "four hundred twenty-seven million, three hundred eighty-four thousand, six hundred fifty-six".